Correspondence is a relation of connection as it establishes a link between two sets of elements, often by relating each element in one set to a specific element in the other set.
Correspondence refers to the exchange of communication or information between two or more parties. It is a relation of connection because it involves establishing a link or connection between the sender and the receiver of the message.
For example, when two people exchange letters or emails, they establish a correspondence that connects them and allows them to communicate. Similarly, in business, correspondence can refer to the exchange of official documents such as letters, memos, and reports, which establish a connection between different departments or organizations. Overall, correspondence is an important aspect of communication that helps to establish and maintain relationships between individuals and groups.
For example, in mathematics, a correspondence can be seen when matching the elements of one set to another, such as associating students with their grades. In this case, the connection is created by linking each student to their respective grade, illustrating the concept of correspondence.
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What is the value of x 12 15 20 or 24?
The value of x is 20 units.
The correct answer is 20 units .
According to the triangle,
ST = 9, TQ = 16 and RQ = x
From similar triangles,
Δ SRQ ⩭ Δ STR ------(1)
{∵ RT 丄 Hypotenuse SQ}
Δ SRQ ⩭ Δ RTQ ------(2)
{∵ Δ SRQ, Δ STR and Δ RTQ are similar triangles}
⇒ SR/ST = SQ/SR = RQ/TR
⇒ SR/9 = 25/SR = x/TR
⇒ SR2 = 25 × 9
⇒ SR = 5 × 3 = 15
\(SR^2\) + \(RQ^2\) = \(SQ^2\)
\(RQ^2 = SQ^2 - SR^2\)
\(RQ^2 = 25^2 - 15^2\)
RQ = x = √(625 - 225) = √400
x = 20 units.
Hence, The value of x is 20 units.
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The complete question is this:
What is the value of x?
12 units, 15 units, 20 units, 24 units
You spend 3 hours every day practicing the piano. What fraction of the day do you spend practicing the piano? Give your answer in simplest form.
Answer:
1/8th
Step-by-step explanation:
since there are 24 hours in a day
Answer: 1/8
Step-by-step explanation:
a day is 24 hours long. If you spend 3 hours out of 24 hours a day to practice piano it would be 3/24. Then to get it in simpilest form, you divide 3 by 3 and 24 by 3 which would get you the answer 1/8.
Hope i helped have a good rest of your day!!
The size of a prison cell at Alcatraz Prison in San Francisco Bay is 5 feet by 9 feet. The average size of a shark cage is 5 feet by 6 1/2 feet. How many more square feet are there in the prison cell than in the shark cage?
The size of a prison cell at Alcatraz Prison in San Francisco Bay is 5 feet by 9 feet. The average size of a shark cage is 5 feet by 6 1/2 feet. How many more square feet are there in the prison cell than in the shark cage?
If the average size of a shark cage is 5 feet by 6 1/2 feet. How many more square feet are there in the prison cell than in the shark cage is: 12.5 square feet.
Square feetFirst step is to calculate the area of Prison in San Francisco Bay
Area=5 feet× 9 feet
Area=45ft
Second step is to calculate shark cage area
Area=5 feet× 6 1/2 feet
Area=32.5ft
Third step is to calculate the square feet
Square feet=45ft-32.5ft
Square feet=12.5 square feet
Therefore If the average size of a shark cage is 5 feet by 6 1/2 feet. How many more square feet are there in the prison cell than in the shark cage is: 12.5 square feet.
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student researchers wanted to see whether a short delay between seeing a list of words and when people were asked to recall them would hinder memorization. the subjects were shown a list of words to memorize for 1 minute and were then given 1 minute to recall as many words as they could. each subject did this once with no delay between memorizing and recall and another time with a 30-second wait between memorizing and recall. they were randomly assigned the order of the two conditions. the number of words memorized under each condition can be found in the statcrunch data set memorizingwords. questions: use the appropriate simulation applet to calculate an approximate p-value. is there strong evidence that a short delay hinders the memorization process? explain.
The appropriate simulation applet to calculate an approximate p-value is 0.0077.
The strong evidence that a short delay hinders the memorization process is strong data suggests that a brief delay impairs memorization.
Delay or no delay, answer: the number of words remembered
The mean distance between words remembered with and without delay over time is null, or zero.
Alt: The mean distance in words remembered over the long term (with no delay minus with delay) is higher than 0.
Yes, the majority of the lines do skew to the right. The mean for no delay is 10.55 whereas that for with delay is 8.7.
The mean distance in words remembered is 1.85.
1)0.0077 as the p-value
2)Strong data suggests that a brief delay impairs memorization.
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If the population of North America is 387000000 people, how many cycles would it take for a pyramid scheme to fail, if that fraud started with 8 people and each new person adds 8 more recruits?
Assuming that each person recruited is counted only once and not repeatedly,
and that the scheme fails once there are no more people left to recruit, we can estimate the number of cycles it would take for the pyramid scheme to fail.
If each person recruited adds 8 more people, the number of people involved in the scheme will double with each cycle.
Starting with 8 people, after one cycle there would be 64 people involved, after two cycles there would be 512 people, after three cycles there would be 4,096 people, and so on.
Assuming that the entire population of North America (387,000,000 people) is available to be recruited, it would only take 9 cycles for the scheme to reach over 390,000,000 people, exceeding the entire population.
However, in reality, the scheme would likely fail before then due to saturation, lack of new recruits, and legal action.
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The roof of a gazebo is a regular octagonal pyramid. If the base of the pyramid has sides of 0.5 meters and the slant height of the roof is 1.9 meters, find the area of the roof. (roof is lateral surface area)
Answer:
The area of the roof is 3.80 m².
Step-by-step explanation:
The lateral surface area of an octagonal pyramid is given by:
\(A = 2s(\sqrt{4h^{2} + 5.828s^{2}})\) (1)
Where:
s: is the length of the base edge = 0.5 m
h: is the height
We can find the height from the slant height (S = 1.9 m):
\( S = \sqrt{h^{2} + 1.457s^{2}} \) (2)
By solving equation (2) for "h" we have:
\( h = \sqrt{S^{2} - 1.457s^{2}} = \sqrt{(1.9)^{2} - 1.457(0.5)^{2}} = 1.80 m \)
Now, we can calculate the area of the roof (equation 1):
\(A = 2s(\sqrt{4h^{2} + 5.828s^{2}}) = 2*0.5(\sqrt{4(1.80)^{2} + 5.828(0.5)^{2}}) = 3.80 m^{2}\)
Therefore, the area of the roof is 3.80 m².
I hope it helps you!
Which of the following equations is equivalent to 2/3a - 7 = 1/3
Answer:
a = 11
Step-by-step explanation:
Given the equation 2/3a - 7 = 1/3
We are to find the value of a that satisfies the equation
2/3 a = 1/3 + 7
2/3 a = (1+21)/3
2/3 a = 22/3
2a = 22
a = 22/2
a = 11
Hence the value of a that satisfies the equation is 11
Determine the equation of the ellipse with center (6, -6), a vertex at (13, -6), and a co-vertex at (6, 0).
The equation of the ellipse is equal to (x - 6)² / 49 + (y + 6)² / 36 = 1.
How to derive of the equation of an ellipse
In this problem we must derive the equation of an ellipse based on information about the center, a vertex and a co-vertex thereof. The vertex represents the end of the major semiaxis that lies on the curve and co-vertex is the end of the minor semiaxis that lies on the curve. The major semiaxis is parallel with x-axis and the minor semiaxis is parallel with y-axis.
The standard form of the ellipse is shown below:
(x - h)² / a² + (y - k)² / b² = 1
Where:
(h, k) - Center of the ellipsea - Length of the major semiaxis.b - Length of the minor semiaxis.Now we proceed to derive the equation of the ellipse:
Major semiaxis:
A = (13, - 6) - (6, - 6)
A = (7, 0)
a = 7
Minor semiaxis:
B = (6, 0) - (6, - 6)
B = (0, 6)
b = 6
Equation of the elipse:
(x - 6)² / 49 + (y + 6)² / 36 = 1
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(x,-4) and (2,8) m= -3
Answer:
x=6
Step-by-step explanation:
we know that
slope formula is,
m=(y2-y1) / (x2-x1)
where m=-3
x1=x,y1=-4 and x2=2,y2=8,
-3=(8-(-4))/(2-x)
Now solving the expression
we get,
-6+3x=12
3x=18
x=6
We have 8 bags of sand that contain 3 cubic meters of sand each.
We plan to build a
sand pyramid using all the bags of sand. With a base of 5 meters by
5 meters, how tall
would our pyramid sand castle
The height of the sand pyramid would be approximately 2.88 meters.
To find out the height of the sand pyramid, we can use the given formula:
\(\[\text{{Volume of pyramid}} = \frac{1}{3}bh\]\\\)
where $b$ is the area of the base and $h$ is the height of the pyramid. We are told that each bag of sand contains 3 cubic meters of sand, so the volume of 8 bags of sand is:
\(\[\text{{Volume of 8 bags of sand}} = 8 \times 3 = 24\]\)
The base of the pyramid is given as 5 meters by 5 meters, so the area of the base is:
\(\[\text{{Area of base}} = 5 \times 5 = 25\]\)
Now, we can substitute these values into the formula and solve for $h$:
\(\[24 = \frac{1}{3} \cdot 25 \cdot h\]\)
Simplifying the equation:
\(\[72 = 25h\]\)
Solving for $h$:
\(\[h = \frac{72}{25} = 2.88\]\)
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What is the length of line segment AB in the triangle below?
Answer:
AB = 11.287
sorry i probably explained it poorly but hope this helps :)
nice profile pic btw :D
the derivative of the function f is given by f′(x)=e−xcos(x2), for all real numbers x. what is the minimum value of f(x) for −1≤x≤1?
To find the minimum value of f(x) for -1 ≤ x ≤ 1, we need to look for critical points of the function in the given interval, and then determine whether they correspond to a minimum value.
The derivative of the function f(x) is given by:
f′(x) = e^(-x) cos(x^2)
The critical points of the function occur where f'(x) = 0 or where f'(x) is undefined.
First, let's look for where f'(x) = 0:
e^(-x) cos(x^2) = 0
cos(x^2) = 0
This equation is satisfied when x^2 = (2n+1)π/2, where n is an integer. However, these solutions are outside the interval [-1, 1], so we can ignore them.
Next, let's look for where f'(x) is undefined. The derivative f'(x) is undefined when e^(-x) = 0 or when cos(x^2) is undefined. However, neither of these conditions is satisfied in the interval [-1, 1], so we can ignore this case as well.
Therefore, there are no critical points of f(x) in the interval [-1, 1]. This means that the minimum value of f(x) in this interval must occur at one of the endpoints of the interval or at a local minimum outside the interval.
We have:
f(-1) = e cos(1)
f(1) = e^(-1) cos(1)
Using a calculator, we find that f(-1) ≈ 0.27 and f(1) ≈ 0.37. Therefore, the minimum value of f(x) in the interval [-1, 1] is f(-1) ≈ 0.27.
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A bank charge a 10$ fee to open an account. Which are the following equation bet repreent the total amount in account,m, when tarting with d, in dollar
The following equation is m=d-10+k×i represent the total amount in account(m) in dollar.
Although the question does not specify the options, but I have specified my answer as follows:
Given:
The equation representing the total amount in the account, m, when starting with d dollars and being charged a 10$ fee.
Account Opening Charges: $10
Starting amount: $d
The total amount in the account: $m
Let us say the depositor deposits an amount $k for 'i' number of months
Banks deduct their charges from the account balance itself, hence account opening charges are deducted from the bank balance.
I have assumed an amount $k invested every month. You can remove that term as per the requirement of the question.
The total amount at a point in time = starting amount - Account Opening Charges + monthly deposit till that time
⇒m=d-10+k×i
This equation shows that the total amount in the account will be equal to the initial deposit minus the fee charged by the bank.
Therefore, the following equation is m=d-10+k×i.
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What scale factor takes hexagon J to hexagon K?
Answer:
Step-by-step explanation:
boody boody
hurry plz yeyeyeyeyeyye
Answer:
$250
Step-by-step explanation:
what is 0.01 less than 142.7
Answer:
142.69
Step-by-step explanation:
142.70-0.01
is
142.69
Brainiest plz
Answer:
142.69
Step-by-step explanation:
A number 0.01 less than 142.7 is equal to 142.7 minus 0.01.
142.7 - 0.01 = 142.69.
Let me know if this helps!
Find the surface area of the space figure represented by the net.
245.5 cm2
263 cm2
173.5 cm2
191 cm2
Answer:
B. 263 cm²
Step-by-step explanation:
Surface area of the figure represented by the net = area of all parts of the net which consists of 3 rectangles and 2 triangles
✔️Area of the first two equal rectangles = 2(L*W)
L = 12 cm
W = 6 cm
Area of the first two equal rectangles = 2(12*6)
= 144 cm²
✔️Area of the third rectangle = L*W
L = 12 cm
W = 7 cm
Area = 12*7
= 84 cm²
✔️Area of the two equal triangles = 2(½*b*h) = b*h
b = 7 cm
h = 5 cm
Area = 7*5
= 35 cm²
✔️Surface area of the space figure = 144 + 84 + 35
= 263 cm²
The sum of 10 consecutive integersstarting with 11, equals the sum of 5 consecutive integers, starting with
(A) 22
(B) 29
(C) 31
(D) 33
Answer: \(\large\boxed{29}\)
Step-by-step explanation:
The sum of 10 consecutive integersstarting with 11
= 11 + 12 + 13 + 14 + 15 + 16 + 17 + 18 + 19 + 20 = 155
Lets try 29:
29 + 30 + 31 + 32 + 33 = 155
Therefore our answer is:
\(\large\boxed{29}\)
Explain how to determine the SIGN of the product of two or more positive andnegative numbers without actually computing the product.
If the amount of negative numbers is odd the sign of the product is negative.
If the amount of negative numbers is even the sign of the product is positive.
What is the period of the function?
1.π
2.2π
3. 3π
4. 4π
Answer:
2pi
Step-by-step explanation:
As x begins at zero and ends at 2pi, the graph repeats itself. Thus, the period is 2pi.
Answer: 2π
Step-by-step explanation:
just took the test
Select the best answer regarding the effects of Carbon monoxide: a. The affinity between CO and hemoglobin is about the same as oxygen. b. The central chemoreceptors will detect the reduction in oxygen delivered to the cells and will increase their firing rate. c. CO results in less oxygen loading hemoglobin but unloading is not changed. d. A small amount of CO in the air will not reduce arterial PO2 levels enough to be sensed by the peripheral chemoreceptors.
The best answer regarding the effects of carbon monoxide is option c, CO results in less oxygen loading hemoglobin but unloading is not changed.
Carbon monoxide binds up more tightly to the hemoglobin as compared to the oxygen molecules. This reduces the oxygen-carrying capacity of the blood and results in less oxygen loading onto hemoglobin.
However, once oxygen is already bound to hemoglobin, CO does not significantly affect its release or unloading. Therefore, option c is the most accurate statement among the given choices.
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the vertices of triangle wxy are located at w(-14,20). x(10,4) and y (-2,-4). what is the approximate length of the midsegment parallel to xy?
The approximate length of the midsegment parallel to xy is 6.63
The midsegment of a triangle is a line segment that connects the midpoints of two sides of the triangle and has the same length as each of the two sides.
To find the midpoint of a line segment, we average the x-coordinates and the y-coordinates of its endpoints.
Since the question stated that the midsegment is parallel to xy, we need to find midpoint of xw and yw.
First, let's find the midpoint of side xw:
Midpoint of xw : ((-14+10)/2, (20+4)/2) = (-2, 12)
Midpoint of yw : ((-14-2)/2, (20-4)/2) = (-8, 8 )
The length of a line segment between two points (x1, y1) and (x2, y2) in a two-dimensional coordinate system can be calculated using the distance formula:
d = √((x2 - x1)^2 + (y2 - y1)^2)
Length line of midpoint xw and midpoint yw :
√((-2-(-8))^2 + (12-(8))^2) = √(6^2 + 4^2) = √(36 + 8) = √44
So, the length of the midsegment is parallel to XY, which is approximately equal to √44 = 6.63
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Find the image of -2 under the function f(x) =2x-1
Answer:
- 5
Step-by-step explanation:
Substitute x = - 2 into f(x)
f(- 2) = 2(- 2) - 1 = - 4 - 1 = - 5
If a rectangle has a length of x and a width that is two more then the length. What is the length of the diagonal of the rectangle if the perimeter is 20 inches?
Let's assume that the length of the rectangle is x inches. The width of the rectangle is 2 inches more than its length. Therefore, the width of the rectangle is (x + 2) inches. We are also given that the perimeter of the rectangle is 20 inches.
The length of the diagonal of the rectangle is: √(1.5² + (1.5+2)²)≈ 3.31 inches.
We know that the perimeter of the rectangle is the sum of the length of all sides of the rectangle. Perimeter of the rectangle = 2(length + width)
So, 20 = 2(x + (x + 2))
⇒ 10 = 2x + 2x + 4
⇒ 10 = 4x + 4
⇒ 4x = 10 - 4
⇒ 4x = 6
⇒ x = 6/4
⇒ x = 1.5
We can find the length of the diagonal using the length and the width of the rectangle. We can use the Pythagorean Theorem which states that the sum of the squares of the legs of a right-angled triangle is equal to the square of the hypotenuse (the longest side).Therefore, the length of the diagonal of the rectangle is the square root of the sum of the squares of its length and width.
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Identify the slope intercept form of the line with a slope of 2 that goes through the point (3,-2)
A: y=2x-4
B: y=2x+4
C: y=x-8
D: y=2x-8
WILL GIVE BRAINLIEST PLS HELP
look at picture
dont pay attention to what drawn in red
solve for x . help anyone ?
Step-by-step explanation:
\( \cos(60) = \frac{x}{10} \\ x = 5\)
A building in a downtown business area casts a shadow that measures 88 meters along the ground. The straight-line distance from the top of the building to the end of the shadow it creates is at a 32° angle with the ground. What is the approximate height of the building? Round your answer to the nearest meter. The building is meters high.
The height of the building with a shadow of 88 feet is 55 feet.
Trigonometric ratioTrigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.
Let h represent the height of the building, hence using trigonometric ratios:
tan(32) = h / 88
h = 88 * tan (32) = 55 feet
The height of the building with a shadow of 88 feet is 55 feet.
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Answer: 55
Step-by-step explanation: The building is 55 meters high
A sample of college age students shows an interesting association between hair length (in inches) and height (also in inches). On average, shorter students tend to have longer hair. What is a possible confounding variable that would help explain this relationship
A possible confounding variable that that would help explain the relationship between hair length and height of college age students is their gender.
Confounding variable is an extraneous variable that is related to both the dependent and independent variable, and it affects the result of the study. Therefore, it causes the effect of the independent variable on the dependent variable to be distorted. A possible confounding variable that would help explain the relationship between hair length and height of college age students is their gender. If the study didn't control for gender, then it would be difficult to determine if the relationship between hair length and height of college age students was a direct relationship or if it was due to the confounding variable (gender).For example, if the study found that female college age students tend to have shorter hair and are shorter than male college age students. Therefore, this would make the relationship between hair length and height spurious. Hence, a possible confounding variable that would help explain the relationship between hair length and height of college age students is their gender.
A possible confounding variable that would help explain the relationship between hair length and height of college age students is their gender. The gender of college age students could play a role in determining their height and hair length. If the study didn't control for gender, then it would be difficult to determine if the relationship between hair length and height of college age students was a direct relationship or if it was due to the confounding variable (gender). For example, if the study found that female college age students tend to have shorter hair and are shorter than male college age students. Therefore, this would make the relationship between hair length and height spurious. This means that the relationship between the two variables was not a direct one, but was rather due to the confounding variable (gender). Therefore, in order to determine if there is a direct relationship between hair length and height of college age students, the study needs to control for gender.
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In the figure MN is a midsegment of JKL. Find the value of X
Answer:
x = 9
Step-by-step explanation:
Here, we want to find the value of x
To do this, we are going to use the similar triangles principle
When two triangles are similar, the ratio of their corresponding sides are the same
The two similar triangles we shall be using are;
LMN and LJK
Thus, we have it that;
x/8.5 = x+ 9/17
17x = 8.5(x + 9)
17x = 8.5x + 76.5
17x - 8.5x = 76.5
8.5x = 76.5
x = 76.5/8.5
x = 9